Prices & ordering

Math Mammoth Ratios, Proportions & Problem Solving is a worktext that concentrates, first of all, on
two important concepts: ratios and proportions, and then on problem solving. The book is best suited for grade levels 6 and 7.

The book starts out with the basic concepts of ratio, rate, and unit rate. The lessons on unit rates not only show
how to calculate them and gives practice at doing so, but also include practice with unit rates that involve complex
fractions.

The two lessons on equivalent rates allow students to solve a variety of word problems involving ratios and rates.
We also connect the concept of rates (specifically, tables of equivalent rates) with ordered pairs, use equations
(such as y = 3x) to describe these tables, and plot the ordered pairs in the coordinate plane.
Then, students encounter the concept of aspect ratio, which is simply the ratio of a rectangle's width to its height,
and solve a variety of problems involving aspect ratio.

Next, students learn how rates can be used to convert measurement units. This method is in addition to the methods
for converting measurement units that are explained in Math Mammoth books on decimals. It does not mean that
students should "change over" and forget what they have learned earlier — it is simply a different method for doing the
conversions. Some students may choose one method over another; some may be able to master all of the methods.
Most will probably choose one method they prefer for doing these conversions.

After this, we turn our attention to proportions (which is an equation of two ratios). The lessons show how to solve
proportions using cross-multiplying and how to set up proportions the correct way. We also study briefly what
cross-multiplying is based on (it is not a magic trick!).

The concept of direct variation is introduced in the lesson Proportional Relationships. Writing and graphing
equations gives a visual understanding of proportionality. In two following lessons on proportions, students also
practice solving rate problems in different ways, using the various methods that they have learned throughout the
book.

The lessons Scaling Figures, Floor Plans, and Maps give useful applications and more practice to master the
concepts of proportions. There is also an optional lesson, Significant Digits, that deals with the concept of the
accuracy of a measurement and how it limits the accuracy of the solution.

Lastly, we study various kinds of word problems involving ratios and use a bar model to solve these problems.
These lessons tie ratios in with the student's previous knowledge of bar models as a tool for problem solving.

How and where to order

You can buy Math Mammoth books at:

Here at MathMammoth.com website — simply use the "Add to cart" buttons you see on the product pages.

CurrClick.com carries all Blue, Golden, and Light Blue series books as downloads. They accept credit cards and Paypal. You will be able to download the products immediately upon the purchase, and also return to your account at CurrClick to redownload.

Lulu offers printed copies for the Blue, Golden, and Light Blue series books.

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

Math Mammoth books are PDF files. You will need Adobe Reader to view them, including if you use a Mac or Linux. You can try other PDF viewers, but they seem to either omit or mess up some of the images.

Math Mammoth Tour

Confused about the different options? Take a 7-day virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books;6 other emails on 6 subsequent days that describe the different series of Math Mammoth products, answering the most commonly asked questions, including "What is the difference between all these different-colored series?"

This way, you'll have time to digest the information over one week, plus an opportunity to ask me personally which book would be right for your child or students.

Note: You will FIRST get an email that asks you to confirm your email address.
If you cannot find this confirmation email, please check your SPAM/JUNK folder.

"Mini" Math Teaching Course

This is a little "virtual" 2-week course, where you will receive emails on important topics on mathematics education. The topics include:

- Teaching multiplication tables
- Why fractions are so difficult
- How to help a student who is behind
- Should you use timed tests
- The value of mistakes
- And more!

You will also receive a GIFT of over 400 free worksheets and sample pages from my books right in the very beginning.

Note: You will FIRST get an email that asks you to confirm your email address.
If you cannot find this confirmation email, please check your SPAM/JUNK folder.

Math teaching tips & resources

Enter your email to receive math teaching tips, resources, Math Mammoth news & sales, humor, and more! I tend to send out these tips about once monthly, near the beginning of the month, but occasionally you may hear from me twice per month (and sometimes less often).